Atkin-Lehner |
2- 3- 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670ca |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
666624 |
Modular degree for the optimal curve |
Δ |
-2376243569281500 = -1 · 22 · 320 · 53 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18823,-2128971] |
[a1,a2,a3,a4,a6] |
j |
1011775924076471/3259593373500 |
j-invariant |
L |
5.6336940669281 |
L(r)(E,1)/r! |
Ω |
0.23473724649736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890g1 |
Quadratic twists by: -3 |